In the triangular prism shown below, which lines are skew?

PQ and SU

Step-by-step explanation:

Skew lines are lines that do not intersect and are not parallel. Thus, PS and ST intersect at S ruling that pair out. TU and QR and parallel which puts them in the same plane. Thus, TU and QR are not by definition skew lines. PR and RU intersect at point R violating our definition which rules out that pair. PQ and SU are not parallel and do not intersect. This aligns with our definition of skew lines and is our answer.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus